InRP? I'll generally play anything. Although I personally prefer playing morally ambiguous or outright villainous factions over others. One thing I certainly do not like is mary-sue-esque or special snowflake RP where a faction constructs itself on the principles of being self-inserts that are the best/coolest at everything whilst having no visible flaws or weaknesses. It's not very believable and doesn't feel like it fits into the in-game universe - Freelancer is built around flaws and stereotypes. Otherwise, people should stretch out and play the game from as many perspectives as possible I think. It'd help the community come to a better understanding of itself.
OoRP? Leadership that doesn't seize it's full potential or/and is lazy, or factions that think they're above the community and don't really contribute to the roleplay/server environment outside of their own little spheres.
II. What makes you log and long for faction interaction? (iRP and ooRP)
These days I feel like the quality and frequency of 'wordy' roleplay interactions has dropped, so when I do log in it's usually for PvP which I can still find fun now and again. Money is so easy to obtain that I barely find myself trading unless a pal needs cash or a POB supplied. I don't discriminate on the basis of interaction and try to imagine I have no idea who is behind the other ship.
III. Specifically, would you care to interact, support or play in a faction that specifically goes for supplying underdogs with at least an inch of morality? (That is, no slavery, no carda and stuff of that sort.)
I don't really join new factions these days but if people offer an interaction I'm not one to give it a pass.